Differential Quasilinearization Method for Solving Initial Value Problems of Ordinary Differential Equations

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Abstract

The differential quasilinearization method (DQM) is presented as an effective technique for obtaining approximate analytical solutions to ordinary differential equations (ODEs). This method converts general ODEs into a sequence of linear ODEs, facilitating efficient computation of successive approximations. As demonstrated by examples in the text, DQM is especially well-suited for addressing implicit or nonlinear ODEs.

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